72773 has 4 divisors (see below), whose sum is σ = 74028. Its totient is φ = 71520.

The previous prime is 72767. The next prime is 72797. The reversal of 72773 is 37727.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 37727 = 31 ⋅1217.

It can be written as a sum of positive squares in 2 ways, for example, as 16129 + 56644 = 127^2 + 238^2 .

It is a cyclic number.

It is not a de Polignac number, because 72773 - 2¹⁶ = 7237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 536 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (18507).

2⁷²⁷⁷³ is an apocalyptic number.

It is an amenable number.

72773 is a deficient number, since it is larger than the sum of its proper divisors (1255).

72773 is a wasteful number, since it uses less digits than its factorization.

72773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254.

The product of its digits is 2058, while the sum is 26.

The square root of 72773 is about 269.7647122957. The cubic root of 72773 is about 41.7500268923.

The spelling of 72773 in words is "seventy-two thousand, seven hundred seventy-three", and thus it is an iban number.